4MA0 Higher June 2015 Paper 3 Q14

EdexcelHigherOld spec3 marksFactorising

(a) Factorise \(a^2 - b^2\) (1)

\(N = 2^{22} - 1\)

(b) Write \(N\) as the product of two integers, both of which are greater than 1000 (2)

Scheme	Marks
\((a - b)(a + b)\)	B1
	(1)

Mark scheme (b)

Scheme	Marks
\((2^{11} - 1)(2^{11} + 1)\) or \((2048 - 1)(2048 + 1)\) or \(\sqrt{4194304} = 2048\) or \(\sqrt{2^{22}} = 2048\) or \(\sqrt{2^{22}} = 2^{11}\) or \(\sqrt{4194304} = 2^{11}\) or 3, 23, 89, 683 (may be seen in a factor tree)	M1
2047, 2049	A1
	(2)

A1: cao